Finding the Third Proportional to 65,657 and 139,522

Step by Step Solution

1. Step 1: Write the proportion equation
   65,657 : 139,522 = 139,522 : x
2. Step 2: Convert to fraction form
   65,657/139,522 = 139,522/x
3. Step 3: Cross multiply
   65,657x = 139,522 × 139,522
4. Step 4: Simplify right side
   65,657x = 19,466,388,484
5. Step 5: Solve for x
   x = 19,466,388,484/65,657
6. Step 6: Final answer
   x = 296,486.11